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2 years ago

3) Which of the following is greater than 2?

Mathematics

1 answer:

n200080 [17]2 years ago

7 0

The correct answer is b

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Write the equation of the line passing through the points (-4,-1) and (2,8)

klio [65]

<h3>Explanation:</h3>

Calculate the slope with two given coordinate points by using rise over run.

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Let these points

$\begin{cases}(x_1, y_1) = ( - 4, - 1) \\ (x_2, y_2) = ( 2, 8) \end{cases}$

$m = \frac{8 - ( - 1)}{2 - ( - 4)} \\ m = \frac{8 + 1}{2 + 4} \Longrightarrow \frac{9}{6} \Longrightarrow \frac{3}{2} \\ m = \frac{3}{2}$

Slope-Intercept

$y = mx + b \\ m = slope \\ b = y - intercept$

Substitute the value of m in the equation.

$y = \frac{3}{2} x + b$

Substitute any coordinate points that are given or part of the graph in the equation.

$(x_, y) = ( - 4, - 1)$

$- 1 = \frac{3}{2} ( - 4) + b$

Solve the equation for b-term.

$- 1 = \frac{3}{ \cancel{2}} ( \cancel{ - 4}) + b\\ - 1 = 3( - 2) + b \\ - 1 = - 6 + b \\ - 1 + 6 = b \\ 5 = b$

Rewrite the equation by substituting the value of b in the equation.

$y = \frac{3}{2} x + 5$

<h3>Answer</h3>

$\large \boxed{y = \frac{3}{2} x + 5}$

If you have any questions related to the answer, feel free to ask via comment.

7 0

3 years ago

Write an equation to represent m varies inversely as the square of q ?

kolezko [41]

Answer:

m = $\frac{k}{q^2}$

Step-by-step explanation:

Given m varies inversely as q² then the equation relating them is

m = $\frac{k}{q^2}$ ← k is the constant of variation

4 0

3 years ago

1 box contains 23 crayons, then 69 crayons can fit in ______ boxes

wel

Answer:

3 boxes?

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

If line b is perpendicular to line a, and line c is

emmasim [6.3K]

Answer:

Step-by-step explanation:

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3 years ago

June served 4/9 of 4 liters of fruit punch. How many liters does she have left?

Dennis_Churaev [7]

Fruit Punch served = 4/9 x 4 = 1 7/9 liters

Fruit Punch left = 4 - 1 7/9 = 2 2/9 liters

Answer: 2 2/9 liters

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3 years ago